What is negative 4 times negative 47?




4 times 47 is 188, but what is the answer if both 4 and 47 are negative numbers? Here we will determine if the answer to negative 4 times negative 47 is positive 188 or negative 188.

There are many different ways to explain and determine if the answer to negative 4 times negative 47 is -188 or +188 using mathematical terms such as additive inverse and mathematical laws like the Distribute Law.

We will take a different approach - process of elimination: We will simply test if -188 is the correct answer using basic algebra.

We will test if -188 is correct by setting up the equation negative 4 times negative 47 equals negative 188, and then simplifying the equation to see if it is true.

(-4) (-47) = (-188)

Divide both sides of the equation by (-47) :

   
(-4) (-47)
 
   
(-47)
 =
   
(-188)
 
   
(-47)

The numerator and denominator on the left side both have (-47) which even each other out and can be removed:

  (-4) =
   
(-188)
 
   
(-47)

The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:

  (-4) =
   
(188)
 
   
(47)

A numerator of 188 and denominator of 47 on the right side is the same as 188 divided by 47 which is 4. Now we end up with this untrue equation:

(-4) = (4)

-4 is NOT equal to 4, thus we have proven that negative 4 times negative 47 is not equal to -188. The answer must therefore be 188:

-4 x -47 = 188


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 47 will always have a positive answer.

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What is negative 4 times negative 48?
Here is the next problem on our list that we have explained and calculated.


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